diff --git a/.gitignore b/.gitignore
index 4f907f8..39be31d 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,4 +1,5 @@
 mnist
 runTests
 *.o
-*.exe
\ No newline at end of file
+*.exe
+runMatrixTests
\ No newline at end of file
diff --git a/imageInput.c b/imageInput.c
index bb30de1..a1e995c 100644
--- a/imageInput.c
+++ b/imageInput.c
@@ -6,17 +6,107 @@
 #define BUFFER_SIZE 100
 #define FILE_HEADER_STRING "__info2_image_file_format__"
 
-// TODO Implementieren Sie geeignete Hilfsfunktionen für das Lesen der Bildserie aus einer Datei
+//Datei öffnen, Header, Anzahl, Höhe und Breite lesen, geöffnete Datei zurückgeben
+static FILE* openAndReadShort (const char *path, unsigned short *count, unsigned short *width, unsigned short *height) {
+    FILE *file = fopen(path, "rb");
+    if (!file) {
+        return NULL;
+    }
+    size_t headerLength = strlen(FILE_HEADER_STRING);
+    char *header = malloc (headerLength + 1);
+    if(!header) {
+        return NULL;
+    }
 
-// TODO Vervollständigen Sie die Funktion readImages unter Benutzung Ihrer Hilfsfunktionen
+    if (fread(header, sizeof(char), headerLength, file) != headerLength) {
+        free (header);
+        return NULL;
+    }
+
+    header[headerLength] = '\0';
+
+    if (strcmp (header, FILE_HEADER_STRING) != 0) {
+        free(header);
+        return NULL;
+    }
+    
+    free (header);
+
+    fread(count, sizeof(unsigned short), 1, file);
+    fread(width, sizeof(unsigned short), 1, file);
+    fread(height, sizeof(unsigned short), 1, file);
+
+    return file;
+}
+
+//Speicher anlegen und Pixel eines Bildes einlesen
+static GrayScaleImage* readPixles (FILE *file, unsigned short *width, unsigned short *height) {
+    GrayScaleImage *image = malloc (sizeof(GrayScaleImage));
+    image->width = *width;
+    image->height = *height;
+    image->buffer = malloc ((*width) * (*height) * sizeof(GrayScalePixelType));
+    if (!image->buffer) {
+        free(image);
+        return NULL;
+    }
+
+    for (unsigned int i = 0; i < (*width) * (*height); i++) {
+        unsigned char pixel;
+        if (fread(&pixel, sizeof(unsigned char), 1, file) != 1) {
+            free(image->buffer);
+            free(image);
+            return NULL;
+        }
+    image->buffer[i] = pixel;
+    }
+
+    return image;
+}
+
+//Ausführen von openAndReadShort, Anlegen des Speichers für Bilderserie, readPixles wird für jedes Bild ausgeführt
+//Nach jedem Bild wird das zugehörige Label gelesen, bei sämtlichen Fehlern wird NULL zurückgegeben und Speicher durch clearSeries bereinigt
 GrayScaleImageSeries *readImages(const char *path)
 {
-    GrayScaleImageSeries *series = NULL;
+    unsigned short count = 0, width = 0, height = 0;
+
+    FILE *file = openAndReadShort(path, &count, &width, &height);
+    if (file == 0) {
+        return NULL;
+    }
+    GrayScaleImageSeries *series = malloc(sizeof(GrayScaleImageSeries));
+    if (!series) {
+        fclose(file);
+        return NULL;
+    }
+    series->count = count;
+
+    series->images = malloc(count * sizeof(GrayScaleImage));
+    series->labels = malloc(count* sizeof(unsigned char));
+
+    for (unsigned int i = 0; i < series->count; i++) {
+       GrayScaleImage *image = readPixles(file, &width, &height);
+       series->images[i] = *image;
+       free(image);
+
+       if (fread(&series->labels[i], sizeof(unsigned char), 1, file) != 1) {
+            clearSeries(series); 
+            fclose(file); 
+            return NULL; 
+        }
+    }
+    fclose(file);
     
     return series;
 }
 
-// TODO Vervollständigen Sie die Funktion clearSeries, welche eine Bildserie vollständig aus dem Speicher freigibt
+//Bereinigt den Speicher
 void clearSeries(GrayScaleImageSeries *series)
 {
+    for (unsigned int i = 0; i < series->count; i++) {
+        free(series->images[i].buffer);
+    }
+
+    free(series->images);
+    free(series->labels);
+    free(series);
 }
\ No newline at end of file
diff --git a/matrix.c b/matrix.c
index ad00628..cf75a94 100644
--- a/matrix.c
+++ b/matrix.c
@@ -1,35 +1,148 @@
 #include <stdlib.h>
 #include <string.h>
 #include "matrix.h"
-
-// TODO Matrix-Funktionen implementieren
+#include <stdio.h>
 
 Matrix createMatrix(unsigned int rows, unsigned int cols)
 {
-    
+    Matrix mat = {.rows = rows, .cols = cols};
+    // If one dimension is 0, return both dimensions as 0 and don't init the array/buffer.
+    if (rows == 0 || cols == 0)
+    {
+        mat.rows = 0;
+        mat.cols = 0;
+        return mat;
+    }
+
+    // allocate contiguous and 0 initialized memory
+    mat.buffer = calloc(rows * cols, sizeof(MatrixType));
+
+    // check if calloc failed
+    if (mat.buffer == NULL)
+    {
+        clearMatrix(&mat);
+        perror("could not allocate memory");
+    }
+
+    return mat;
 }
 
+// reduce the dimensions to (0, 0) and free the memory
 void clearMatrix(Matrix *matrix)
 {
-    
+    free(matrix->buffer);
+    matrix->buffer = NULL;
+    matrix->cols = 0;
+    matrix->rows = 0;
 }
 
 void setMatrixAt(MatrixType value, Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    
+    // do nothing if idx is not in array or matrix buffer is NULL
+    if (!(rowIdx < matrix.rows) || !(colIdx < matrix.cols) || matrix.buffer == NULL)
+    {
+        return;
+    }
+
+    matrix.buffer[rowIdx * matrix.cols + colIdx] = value;
 }
 
 MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int colIdx)
 {
-    
-}
+    // return UNDEFINED_MATRIX_VALUE if idx is not in array or matrix buffer is NULL
+    if (!(rowIdx < matrix.rows) || !(colIdx < matrix.cols) || matrix.buffer == NULL)
+    {
+        return UNDEFINED_MATRIX_VALUE;
+    }
+
+    return matrix.buffer[rowIdx * matrix.cols + colIdx];
+};
 
 Matrix add(const Matrix matrix1, const Matrix matrix2)
 {
-    
+    Matrix resMat = (matrix1.cols > matrix2.cols) ? createMatrix(matrix1.rows, matrix1.cols) : createMatrix(matrix2.rows, matrix2.cols);
+
+    if (resMat.buffer == NULL)
+    {
+        return createMatrix(0, 0);
+    }
+
+    if (matrix1.cols != matrix2.cols)
+    {
+        if (matrix1.rows != matrix2.rows)
+        {
+            clearMatrix(&resMat);
+            return resMat;
+        }
+        else if (matrix1.cols == 1)
+        {
+            // broadcast vector
+            for (size_t m = 0; m < matrix2.rows; m++)
+            {
+                for (size_t n = 0; n < matrix2.cols; n++)
+                {
+                    setMatrixAt(getMatrixAt(matrix2, m, n) + getMatrixAt(matrix1, m, 0), resMat, m, n);
+                }
+            }
+            return resMat;
+        }
+        else if (matrix2.cols == 1)
+        {
+            // broadcast vector
+            for (size_t m = 0; m < matrix1.rows; m++)
+            {
+                for (size_t n = 0; n < matrix1.cols; n++)
+                {
+                    setMatrixAt(getMatrixAt(matrix1, m, n) + getMatrixAt(matrix2, m, 0), resMat, m, n);
+                }
+            }
+            return resMat;
+        }
+        else
+        {
+            clearMatrix(&resMat);
+            return resMat;
+        }
+    }
+
+    for (size_t m = 0; m < matrix1.rows; m++)
+    {
+        for (size_t n = 0; n < matrix1.cols; n++)
+        {
+            // this is unnecessarily complicated because at this point we already know that the matrices are compatible
+            setMatrixAt(getMatrixAt(matrix1, m, n) + getMatrixAt(matrix2, m, n), resMat, m, n);
+        }
+    }
+
+    return resMat;
 }
 
 Matrix multiply(const Matrix matrix1, const Matrix matrix2)
 {
-    
+    if (matrix1.cols != matrix2.rows || matrix1.buffer == NULL || matrix2.buffer == NULL)
+    {
+        return createMatrix(0, 0);
+    }
+
+    int rows = matrix1.rows, cols = matrix2.cols;
+    Matrix resMat = createMatrix(rows, cols);
+
+    if (resMat.buffer == NULL)
+    {
+        return createMatrix(0, 0);
+    }
+
+    for (size_t rowIdx = 0; rowIdx < rows; rowIdx++)
+    {
+        for (size_t colIdx = 0; colIdx < cols; colIdx++)
+        {
+            int curCellVal = 0;
+            for (size_t k = 0; k < matrix1.cols; k++)
+            {
+                curCellVal += getMatrixAt(matrix1, rowIdx, k) * getMatrixAt(matrix2, k, colIdx);
+            }
+            setMatrixAt(curCellVal, resMat, rowIdx, colIdx);
+        }
+    }
+    return resMat;
 }
\ No newline at end of file
diff --git a/matrix.h b/matrix.h
index cc640d1..534a763 100644
--- a/matrix.h
+++ b/matrix.h
@@ -5,8 +5,13 @@
 
 typedef float MatrixType;
 
-// TODO Matrixtyp definieren
-
+// Matrixtyp
+typedef struct Matrix
+{
+    MatrixType *buffer;
+    size_t rows;
+    size_t cols;
+} Matrix;
 
 Matrix createMatrix(unsigned int rows, unsigned int cols);
 void clearMatrix(Matrix *matrix);
@@ -15,5 +20,4 @@ MatrixType getMatrixAt(const Matrix matrix, unsigned int rowIdx, unsigned int co
 Matrix add(const Matrix matrix1, const Matrix matrix2);
 Matrix multiply(const Matrix matrix1, const Matrix matrix2);
 
-
 #endif
diff --git a/testFile.info2 b/testFile.info2
new file mode 100644
index 0000000..1ea3b4c
--- /dev/null
+++ b/testFile.info2
@@ -0,0 +1 @@
+some_tag                  
\ No newline at end of file